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Finding the Third Proportional to 312,044.50 and 468,074.50

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Solution

The third proportional to 312,044.50 and 468,074.50 is: 702,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,044.50 : 468,074.50 = 468,074.50 : x
  2. Step 2: Convert to fraction form
    312,044.50/468,074.50 = 468,074.50/x
  3. Step 3: Cross multiply
    312,044.50x = 468,074.50 × 468,074.50
  4. Step 4: Simplify right side
    312,044.50x = 219,093,737,550.25
  5. Step 5: Solve for x
    x = 219,093,737,550.25/312,044.50
  6. Step 6: Final answer
    x = 702,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.